13724927138889 has 48 divisors (see below), whose sum is σ = 20245970903184. Its totient is φ = 8956426752000.

The previous prime is 13724927138887. The next prime is 13724927138911. The reversal of 13724927138889 is 98883172942731.

It is a happy number.

13724927138889 is a `hidden beast` number, since 1 + 3 + 7 + 249 + 271 + 38 + 8 + 89 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 887002308864 + 12837924830025 = 941808^2 + 3583005^2 .

It is not a de Polignac number, because 13724927138889 - 2¹ = 13724927138887 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13724927138887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 696086259 + ... + 696105975.

It is an arithmetic number, because the mean of its divisors is an integer number (421791060483).

Almost surely, 2^{13724927138889} is an apocalyptic number.

It is an amenable number.

13724927138889 is a deficient number, since it is larger than the sum of its proper divisors (6521043764295).

13724927138889 is a wasteful number, since it uses less digits than its factorization.

13724927138889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23098 (or 23095 counting only the distinct ones).

The product of its digits is 292626432, while the sum is 72.

The spelling of 13724927138889 in words is "thirteen trillion, seven hundred twenty-four billion, nine hundred twenty-seven million, one hundred thirty-eight thousand, eight hundred eighty-nine".